LESSON 20-1 Challenge Practice Proof

LESSON 20-1
Challenge Practice
1. Proof Trace the figure at the right that
represents the area of two squares Cut along
the dashed lines to remove two triangles from
the figure. How can the two triangles be
rearranged next to the remaining figure to
prove the Pythagorean Theorem? Explain your
reasoning.
2. Gift Box You are wrapping a gift box that has
the dimensions shown in the figure. You want
to tie a ribbon around the box as shown, so
that whenever the ribbon intersects an edge
of the box, its distance to the nearest corner is
1/3 the length of the edge of the box. Not
counting he extra length needed for tying the
ribbon, how long must the ribbon be?
3. Beads A cube-shaped bead has a length,
width, and height of 2 centimeters. A hole is
drilled through the bead diagonally from one
corner to the opposite corner that is farthest
away from it. How many of these beads must
be strung together to form a length of 5 feet?
(Hint: 1 inch = 2.54 centimeters)